The Stationary Set of a Group Action
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Publication:3902200
DOI10.2307/2042403zbMath0454.57027OpenAlexW4244783848MaRDI QIDQ3902200
Publication date: 1980
Full work available at URL: https://doi.org/10.2307/2042403
compactly generated Lie groupsfirst cohomology group of a groupstable stationary points of differentiable group actions
Transformation groups and semigroups (topological aspects) (54H15) Stability theory for smooth dynamical systems (37C75) Noncompact Lie groups of transformations (57S20)
Related Items (16)
Local rigidity and group cohomology I: Stowe's theorem for Banach manifolds ⋮ Deformation rigidity for subgroups of 𝑆𝐿(𝑛,𝐙) acting on the 𝐧-torus ⋮ Global rigidity results for lattice actions on tori and new examples of volume-preserving actions ⋮ Cohomology of dynamical systems and rigidity of partially hyperbolic actions of higher-rank lattices ⋮ Anosov automorphisms for nilmanifolds and rigidity of group actions ⋮ Structural Stability and Group Cohomology ⋮ Stable Orbits of Differentiable Group Actions ⋮ Tangential flatness and global rigidity of higher rank lattice actions ⋮ Rigidity of trivial actions of abelian-by-cyclic groups ⋮ Local rigidity for certain groups of toral automorphisms ⋮ Low dimensional actions of semisimple groups ⋮ Smooth actions of Lie groups and Lie algebras on manifolds ⋮ Local rigidity of certain actions of solvable groups on the boundaries of rank-one symmetric spaces ⋮ Codimension two compact Hausdorff foliations by hyperbolic surfaces are not stable ⋮ Zero sets of Lie algebras of analytic vector fields on real and complex two-dimensional manifolds ⋮ Real analytic actions of SL (2, ℝ) on a surface
Cites Work
- A generalization of the Reeb stability theorem
- On fundamental groups of complete affinely flat manifolds
- Groups of differentiable and real or complex analytic transformations
- Equivalence of nearby differentiable actions of a compact group
- Stability of Stationary Points and Cohomology of Groups
- Continuous cohomology of groups and classifying spaces
- Remarks on a Paper of Hermann
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